h(x) = 5x3 - 3x5 (a) Find the interval of increase. (Enter your answer using interval notation.) (-00, – 1) U (0,1) × Find the interval of decrease. (Enter your answer using interval notation.) |(-1,0) U(1,00)) x (b) Find the local minimum value(s). (Enter your answers as a comma-separated list.) -1, - 2 Find the local maximum value(s). (Enter your answers as a comma-separated list.) 1,2 (c) Find the inflection points. (х, у) - |(smallest x-value) (х, у) - (х, у)- | (largest x-value) Find the interval where the graph concave upward. (Enter your answer using interval notation.) Find the interval where the graph is concave downward. (Enter your answer using interval notation.) (d) Use the information from parts (a)-(c) to sketch the graph. Check your work with a graphing device if you have one. y 6 4 -2 -2 1 y y 4 -1 -2 -1

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.8: Interpreting Graphs Of Functions
Problem 17PPS
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h(x) = 5x3 - 3x5
(a) Find the interval of increase. (Enter your answer using interval notation.)
(-x, – 1) U (0,1) x
Find the interval of decrease. (Enter your answer using interval notation.)
|(-1,0)U ((1,0)) ×
(b) Find the local minimum value(s). (Enter your answers as a comma-separated list.)
-1, - 2
Find the local maximum value(s). (Enter your answers as a comma-separated list.)
1,2
(c) Find the inflection points.
- ([
(х, у)
(smallest x-value)
(х, у)
- ([
(х, у)
(largest x-value)
Find the interval where the graph is concave upward. (Enter your answer using interval notation.)
Find the interval where the graph is concave downward. (Enter your answer using interval notation.)
(d) Use the information from parts (a)-(c) to sketch the graph. Check your work with a graphing device if you have one.
y
4
-2
1
-4
-6
y
y
6
4
-2
-2
-1
1
-5
-6
Transcribed Image Text:h(x) = 5x3 - 3x5 (a) Find the interval of increase. (Enter your answer using interval notation.) (-x, – 1) U (0,1) x Find the interval of decrease. (Enter your answer using interval notation.) |(-1,0)U ((1,0)) × (b) Find the local minimum value(s). (Enter your answers as a comma-separated list.) -1, - 2 Find the local maximum value(s). (Enter your answers as a comma-separated list.) 1,2 (c) Find the inflection points. - ([ (х, у) (smallest x-value) (х, у) - ([ (х, у) (largest x-value) Find the interval where the graph is concave upward. (Enter your answer using interval notation.) Find the interval where the graph is concave downward. (Enter your answer using interval notation.) (d) Use the information from parts (a)-(c) to sketch the graph. Check your work with a graphing device if you have one. y 4 -2 1 -4 -6 y y 6 4 -2 -2 -1 1 -5 -6
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